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Finding the Third Proportional to 119,363.63 and 257,407.88

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Solution

The third proportional to 119,363.63 and 257,407.88 is: 555,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,363.63 : 257,407.88 = 257,407.88 : x
  2. Step 2: Convert to fraction form
    119,363.63/257,407.88 = 257,407.88/x
  3. Step 3: Cross multiply
    119,363.63x = 257,407.88 × 257,407.88
  4. Step 4: Simplify right side
    119,363.63x = 66,258,814,112.02
  5. Step 5: Solve for x
    x = 66,258,814,112.02/119,363.63
  6. Step 6: Final answer
    x = 555,100.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.